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Finding the Fourth Proportional to 229.47, 344.22 and 226.29

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Solution

The fourth proportional to 229.47, 344.22 and 226.29 is: 339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.47 : 344.22 = 226.29 : x
  2. Step 2: Convert to fraction form
    229.47/344.22 = 226.29/x
  3. Step 3: Cross multiply
    229.47x = 344.22 × 226.29
  4. Step 4: Simplify right side
    229.47x = 77,893.54
  5. Step 5: Solve for x
    x = 77,893.54/229.47
  6. Step 6: Final answer
    x = 339.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.